13279653034880 has 128 divisors (see below), whose sum is σ = 32748712832160. Its totient is φ = 5146798694400.

The previous prime is 13279653034859. The next prime is 13279653034927. The reversal of 13279653034880 is 8843035697231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13279653034880² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77210 + ... + 5154150.

It is a 1-persistent number, because it is pandigital, but 2⋅13279653034880 = 26559306069760 is not.

Almost surely, 2^{13279653034880} is an apocalyptic number.

13279653034880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13279653034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374356416080).

13279653034880 is an abundant number, since it is smaller than the sum of its proper divisors (19469059797280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13279653034880 is an equidigital number, since it uses as much as digits as its factorization.

13279653034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077088 (or 5077076 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 13279653034880 in words is "thirteen trillion, two hundred seventy-nine billion, six hundred fifty-three million, thirty-four thousand, eight hundred eighty".